On extending real functions to finite dimensional algebras

Authors
Li, Bingren Yang, Yimin
Citation
Li, Bingren et Yang, Yimin, On extending real functions to finite dimensional algebras, Acta mathematica Sinica. English series (Print) , 15(4), 1999, pp. 455-470
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
15
Issue
4
Year of publication
1999
Pages
455 - 470
Database
ACNP
SICI code
Abstract
In a finite dimensional real algebra, we define functional calculus for real functions. The analytic hypothesis is replaced by a differentiable hypothesis. High order differentibility is essentially necessary and sufficient to our discussions. Moreover, we give some examples.